1) Acts says that Paul was in Corinth when Gallio was proconsul of Achaia (Ac18:12) from the summer of 51 and for a period of less than one year. (Gallio not in Josephus' works)What evidence, Bernard? The fact some aspects reflect events or people recorded in other texts? Such as the texts of Josephus? and others?
2) Paul in 2 Corinthians named Aretas as a king. The last king called Aretas died in 40 CE.
About Aretas (from http://historical-jesus.info/co2b.html:
3) Paul stated in his epistles he went to Jerusalem, or planning to go there (Galatians, Romans). Jerusalem was fully destroyed in 70 CE.[part of 32-33 (more so "of Aretas the king") or the whole is contested as interpolation because there is no external evidence that Damascus came under Aretas' rule at that time. However, it is not necessarily meant here this ethnarch had control of the city. Rather, he may just have been the representative of Nabataean residents and, at the same time, ambassador for Aretas IV (9-40 C.E.). As such, he could hire henchmen in order to watch the few city gates and search for Paul, for the purpose of bringing him to trial.
a) Damascus was a center of trade by caravans and immediately North of the territory held by the Nabataean Arabs. Furthermore, in the past, Damascus had been part of the Nabataean kingdom. Therefore the presence of a Nabataean minority in Damascus is plausible.
b) According to Josephus (Ant., XIX, V, 2-3), the Jews of Alexandria (Egypt) were represented by an ethnarch and Claudius extended the practice to all cities with Diaspora Jews. Therefore it is very plausible other significant national minorities in cities would also have their own ethnarch]
4) Paul met James, the brother of Jesus (Galatians). Josephus wrote in his Antiquities that James was executed (around 62 CE).
5) Paul wrote in Romans 13:11-12a "And that, knowing the time, that now it is high time to awake out of sleep: for now is our salvation nearer than when we believed.
The night is far spent, the day is at hand"
The author was not aware those Christians of Rome would be massacred by Nero (64 CE) as reported by Tacitus and Suetonius.
6) Paul wrote in Galatians Gal 4:25 "For this Agar is mount Sinai in Arabia, and answereth to Jerusalem which now is, and is in bondage with her children."
The author was not aware Jerusalem would be destroyed in 70 CE. If he was, he would have written the verse differently.
Of course, most, maybe all of these points have been attacked by mythicists. If you think the Pauline epistles such as 1-2 Corinthians, Galatians & Romans where written by somebody other than Paul in the 2nd century, then supply solid evidence.
Another possibility? Don't we have enough of them?That could just mean the Pauline texts, and Acts, were written after the availability of the Josephus (and other such) texts and borrowed from them.
According to my study, the author of Acts knew about Josephus' Wars but not his Antiquities: http://historical-jesus.info/58.html
Cordially, Bernard